Algebra 1 5-8 Independent Practice: Graphing Absolute Value Functions

How is the graph of y = |x| - 8 different from the graph of y = |x|?

How is it the same?

After responding, you may check your answer using Desmos below. If you must edit your response, consider also editing your note card.

What is the equation for the translation of y = |x| 9 units up?

You may check your response using Desmos.

What is the graph of the function?

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Compare and Contrast: How are the graphs of y = |x| - 4 and y = |x - 4| the same? How are they different? You may use the canvas to help illustrate your written response.

Error Analysis: A student is graphing the equation y = |x - 10| and translates the graph of y = |x| 10 units left. Describe her error. You may use the canvas to help illustrate your written response.

Reflection: Math Success